If a rotating object has a kinetic energy of 50 J and a moment of inertia of 5 k
Practice Questions
Q1
If a rotating object has a kinetic energy of 50 J and a moment of inertia of 5 kg·m², what is its angular velocity?
5 rad/s
10 rad/s
15 rad/s
20 rad/s
Questions & Step-by-Step Solutions
If a rotating object has a kinetic energy of 50 J and a moment of inertia of 5 kg·m², what is its angular velocity?
Kinetic Energy of Rotating Objects – This concept involves understanding how kinetic energy is calculated for objects in rotational motion, specifically using the formula KE = (1/2)Iω², where I is the moment of inertia and ω is the angular velocity.
Moment of Inertia – This concept refers to the resistance of an object to changes in its rotational motion, which is dependent on the mass distribution relative to the axis of rotation.
Angular Velocity – This concept involves the rate of rotation of an object, measured in radians per second (rad/s), and is derived from the kinetic energy and moment of inertia.
